Let's divide 684659 by 45
We're looking to find how many times 45 goes into 684659.

Let's proceed to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 45

Let's proceed to step 2:
45 can be fit into 68 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 68 to get 23.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 45

On to step 3:
234 divided by 45 is 5 with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 225 from 234 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 45

Advancing to step 4:
96 divided by 45 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 152.0
If we subtract 90 from 96, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 45

Let's proceed to step 5:
When dividing 65 by 45, we get 1 with a remainder of 20.
The next digit of our result is 1. 
Result so far: 1521.0
If we subtract 45 from 65, we get 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 45

On to step 6:
45 can be fit into 209 4 times, resulting in a remainder of 29.
Write down 4 as next digit of the result. 
Result so far: 15214.0
The remainder is 29 after subtracting 180 from 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
If we divide 290 by 45, we get 6 and a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 15214.6
If we subtract 270 from 290, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 15214.64
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 45, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 15214.644
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 15214.644 with a balance of 0.002.